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Finding the Fourth Proportional to 24,227.96, 36,356.04 and 10,186.97

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Solution

The fourth proportional to 24,227.96, 36,356.04 and 10,186.97 is: 15,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.96 : 36,356.04 = 10,186.97 : x
  2. Step 2: Convert to fraction form
    24,227.96/36,356.04 = 10,186.97/x
  3. Step 3: Cross multiply
    24,227.96x = 36,356.04 × 10,186.97
  4. Step 4: Simplify right side
    24,227.96x = 370,357,888.80
  5. Step 5: Solve for x
    x = 370,357,888.80/24,227.96
  6. Step 6: Final answer
    x = 15,286.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.